P. M. Prenter

1.7k total citations · 1 hit paper
25 papers, 1.1k citations indexed

About

P. M. Prenter is a scholar working on Computational Mechanics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, P. M. Prenter has authored 25 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Computational Mechanics, 9 papers in Mathematical Physics and 6 papers in Numerical Analysis. Recurrent topics in P. M. Prenter's work include Advanced Numerical Analysis Techniques (7 papers), Numerical methods in engineering (6 papers) and Advanced Numerical Methods in Computational Mathematics (5 papers). P. M. Prenter is often cited by papers focused on Advanced Numerical Analysis Techniques (7 papers), Numerical methods in engineering (6 papers) and Advanced Numerical Methods in Computational Mathematics (5 papers). P. M. Prenter collaborates with scholars based in United States and Australia. P. M. Prenter's co-authors include John Locker, Robert D. Russell, Kevin D. Cooper, Robert Anderssen, Jack Graves, C. R. Vogel, John D. Murphy, E. R. Westwater and Eugene L. Allgower and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

P. M. Prenter

22 papers receiving 906 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Splines and Variational Methods.

1991 715 citations P. M. Prenter et al. Mathematics of Computation profile →

Peers

Countries citing papers authored by P. M. Prenter

Since Specialization

Citations

This map shows the geographic impact of P. M. Prenter's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by P. M. Prenter with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. M. Prenter more than expected).

Fields of papers citing papers by P. M. Prenter

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. M. Prenter. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by P. M. Prenter. The network helps show where P. M. Prenter may publish in the future.

Co-authorship network of co-authors of P. M. Prenter

This figure shows the co-authorship network connecting the top 25 collaborators of P. M. Prenter. A scholar is included among the top collaborators of P. M. Prenter based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with P. M. Prenter. P. M. Prenter is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Alternating direction collocation for irregular regions 1996 ·Numerical Methods for Partial Differential Equations ·Kevin D. Cooper, (unknown), P. M. Prenter	3
2	Splines and Variational Methods. breakdown → 1991 ·Mathematics of Computation ·(unknown), P. M. Prenter	715
3	Alternating Direction Collocation for Separable Elliptic Partial Differential Equations 1991 ·SIAM Journal on Numerical Analysis ·Kevin D. Cooper, P. M. Prenter	18
4	A coupled double splitting ADI scheme for the first biharmonic using collocation 1990 ·Numerical Methods for Partial Differential Equations ·Kevin D. Cooper, P. M. Prenter	3
5	Three adaptive discrete least squares cubic spline procedures for the compression of data 1986 ·Computer Vision Graphics and Image Processing ·P. M. Prenter, E. R. Westwater	4
6	Stochastic inversion of linear first kind integral equations I. Continuous theory and the stochastic generalized inverse 1985 ·Journal of Mathematical Analysis and Applications ·P. M. Prenter, C. R. Vogel	8
7	Higher order methods for convection-diffusion problems 1985 ·Computers & Fluids ·John D. Murphy, P. M. Prenter	4
8	A formal comparison of methods proposed for the numerical solution of first kind integral equations 1981 ·The Journal of the Australian Mathematical Society Series B Applied Mathematics ·Robert Anderssen, P. M. Prenter	15
9	The Numerical Treatment of Integral Equations (C. T. H. Baker) 1981 ·SIAM Review ·P. M. Prenter	1
10	Regularization with differential operators. I. General theory 1980 ·Journal of Mathematical Analysis and Applications ·John Locker, P. M. Prenter	52
11	Regularization with Differential Operators. II: Weak Least Squares Finite Element Solutions to First Kind Integral Equations 1980 ·SIAM Journal on Numerical Analysis ·John Locker, P. M. Prenter	12
12	Optimal $L^2$ and $L^\infty;$ Error Estimates for Continuous and Discrete Least Squares Methods for Boundary Value Problems 1978 ·SIAM Journal on Numerical Analysis ·John Locker, P. M. Prenter	5
13	Orthogonal Collocation for Elliptic Partial Differential Equations 1976 ·SIAM Journal on Numerical Analysis ·P. M. Prenter, Robert D. Russell	58
14	On the branching of solutions of quadratic differential equations 1974 ·Aequationes Mathematicae ·Eugene L. Allgower, P. M. Prenter	0
15	A Collection Method for the Numerical Solution of Integral Equations 1973 ·SIAM Journal on Numerical Analysis ·P. M. Prenter	24
16	Lagrange and Hermite interpolation in banach spaces 1971 ·Journal of Approximation Theory ·P. M. Prenter	24
17	PiecewiseL-splines 1971 ·Numerische Mathematik ·P. M. Prenter	7
18	A Weierstrass theorem for real, separable Hilbert spaces 1970 ·Journal of Approximation Theory ·P. M. Prenter	38
19	A Weierstrass theorem for normed linear spaces 1969 ·Bulletin of the American Mathematical Society ·P. M. Prenter	7
20	The extended exponential of a measure space 1965 ·P. M. Prenter	1

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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